Sequential fractional differential equations with three-point boundary conditions

DOI10.1016/j.camwa.2012.02.036zbMath1268.34006OpenAlexW2026401245WikidataQ60199353 ScholiaQ60199353MaRDI QIDQ356295

Bashir Ahmad, Juan. J. Nieto

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.02.036

zbMATH Keywords

existencefixed pointdifferential equationfractional orderthree-point boundary conditions

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items

Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian, On the nonlinear fractional differential equations with Caputo sequential fractional derivative, Initial value problem for nonlinear fractional differential equations with sequential fractional derivative, Periodic boundary value problem involving sequential fractional derivatives in Banach space, Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses, Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations, Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions, On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions, A new class of fractional boundary value problems, Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions, Some existence results for differential inclusions of fractional order with nonlocal strip conditions, Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative, On system of mixed fractional hybrid differential equations, Applicability of Mönch's fixed point theorem on existence of a solution to a system of mixed sequential fractional differential equation, Existence results for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions, Bifurcation of positive solutions for a class of boundary value problems of fractional differential inclusions, Nonlinear sequential fractional differential equations in partially ordered spaces, New sequential fractional differential equations with mixed-type boundary conditions, Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses, On a \(q\)-fractional variant of nonlinear Langevin equation of different orders, A coupled system of Caputo-type sequential fractional differential equations with coupled (periodic/anti-periodic type) boundary conditions, Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions, Boundary value problems for a class of sequential integrodifferential equations of fractional order, Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions, Nonlinear sequential fractional differential equations with nonlocal boundary conditions, Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions, On antiperiodic nonlocal three-point boundary value problems for nonlinear fractional differential equations, Existence results for fractional integral inclusions via nonlinear alternative for contractive maps, An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions, Eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions, Nonlinear second-order impulsive \(q\)-difference Langevin equation with boundary conditions, Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions, Some new versions of fractional boundary value problems with slit-strips conditions, Some existence theorems for fractional integro-differential equations and inclusions with initial and non-separated boundary conditions, Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions, Three-point boundary value problems for conformable fractional differential equations, A new kind of nonlocal-integral fractional boundary value problems, A class of fractional \(p\)-Laplacian integrodifferential equations in Banach spaces, A study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditions, Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case, Existence results of positive solutions for boundary value problems of fractional differential equations, Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions, Fractional integral problems for fractional differential equations via Caputo derivative, Approximate controllability of impulsive fractional stochastic differential equations with state-dependent delay, New existence results for fractional integrodifferential equations with nonlocal integral boundary conditions, Stability and bifurcation analysis of differential equations and its applications, SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS AT RESONANCE, Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions, Boundary value problems for fractional differential equations with fractional multiterm integral conditions, Existence and uniqueness for fractional order functional differential equations with Hilfer derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A study of nonlinear Langevin equation involving two fractional orders in different intervals
• Fractional Bloch equation with delay
• Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
• Some boundary value problems of fractional differential equations and inclusions
• Sequential fractional differential equations with Hadamard derivative
• On \(L^{p}\)-solutions for a class of sequential fractional differential equations
• Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
• Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• An existence result for a superlinear fractional differential equation
• Maximum principles for fractional differential equations derived from Mittag-Leffler functions
• Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations
• On positive solutions of a nonlocal fractional boundary value problem
• On a Riemann–Liouville fractional analog of the Laplace operator with positive energy
• A note on the real zeros of the incomplete gamma function
• Waves in viscoelastic media described by a linear fractional model
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications
• A generalized gamma model associated with a Bessel function
• Periodic boundary value problems for Riemann-Liouville sequential fractional differential equations
• Regularity of harmonic functions for anisotropic fractional Laplacians
• Advances in Fractional Calculus